There isn't a single, specific term for a planet with a deep, massive atmosphere. However, we can use descriptive terms to describe such a planet:

* Gas giant: This is the most common term for planets with extremely deep and massive atmospheres, like Jupiter, Saturn, Uranus, and Neptune.

* Super-Earth: While not necessarily having a deep atmosphere, super-Earths are planets larger than Earth but smaller than Neptune. Some super-Earths might have very thick atmospheres, potentially leading to intense pressure and heat at the surface.

* Atmospheric planet: This is a less commonly used term, but it specifically highlights the significance of the atmosphere.

* Giant planet: This is a general term that encompasses both gas giants and ice giants.

Ultimately, the specific terminology depends on the context and the specific characteristics of the planet in question.